The following table shows the number of males (M) and females (F) (in…
2023
The following table shows the number of males (M) and females (F) (in thousands) in Towns X and Y during the five years from 2018 to 2022. Based on the data in the table:
Year wise numbers of Males and Females in two Towns (in thousands)
Year | Town X — number of males | Town X — number of females | Town Y — number of males | Town Y — number of females |
|---|---|---|---|---|
2018 | 50 | 49 | 53 | 50 |
2019 | 52 | 49 | 54 | 52 |
2020 | 55 | 52 | 55 | 54 |
2021 | 53 | 53 | 58 | 56 |
2022 | 55 | 52 | 62 | 55 |
For town Y, the percentage increase in the number of females for a given year with reference to the previous year is maximum in the year _______
Answer: D. 2019 — ConceptFor consecutive values, the percentage change is (current value − previous value) ÷ previous value × 100. The previous year’s value is the base, so…
- A.
2022
- B.
2021
- C.
2020
- D.
2019
Attempted by 2 students.
Show answer & explanation
Correct answer: D
Concept
For consecutive values, the percentage change is (current value − previous value) ÷ previous value × 100. The previous year’s value is the base, so equal absolute increases can produce different percentage increases.
Application
For 2019: (52 − 50) ÷ 50 × 100 = 4.00%.
For 2020: (54 − 52) ÷ 52 × 100 ≈ 3.85%.
For 2021: (56 − 54) ÷ 54 × 100 ≈ 3.70%.
For 2022: (55 − 56) ÷ 56 × 100 ≈ −1.79%, which is a decrease.
Cross-check
The first three year-to-year increases are each 2 thousand, so the smallest preceding-year base gives the largest percentage increase. The preceding base is smallest for 2019 (50 thousand), while 2022 records a decrease.
Result
Therefore, the maximum percentage increase occurs in 2019.